Towards Quantum Control with Advanced Quantum Computing: A Perspective

Area of Science:

• Quantum Computing
• Quantum Control Theory
• Computational Physics

Background:

• Classical numerical methods struggle with complex quantum dynamics.
• Digital quantum simulation offers a powerful alternative for simulating quantum systems.
• Variational quantum algorithms (VQAs) are emerging as a key tool in quantum computation.

Purpose of the Study:

• To propose and analyze a hybrid quantum-classical framework for quantum control.
• To leverage digital quantum simulation and VQAs for enhanced efficiency.
• To assess the feasibility of this approach in the current noisy intermediate-scale quantum (NISQ) era.

Main Methods:

• Combining digital quantum simulation with variational quantum algorithms.
• Developing a hybrid quantum-classical framework for quantum dynamics simulation.
• Analyzing algorithm trainability and performance through preliminary studies.

Main Results:

• The proposed hybrid approach offers efficient quantum dynamics simulation compared to classical algorithms.
• Specific quantum control problems, like bang-bang control switching times and quantum annealing schedules, are addressable.
• The framework demonstrates potential for application even in the NISQ era.

Conclusions:

• The hybrid quantum-classical approach is a viable and efficient alternative for quantum control.
• This method can already tackle specific quantum control challenges on current quantum hardware.
• Further advancements in quantum hardware will significantly enhance the precision and applicability of these algorithms for quantum control.